Quantum Mechanics and Spectrum Generating Groups and Supergroups
In our quantum mechanics course we were taught that molecules consist of N electrons and M nuclei and that one has to solve a (N + M) body Schrödinger equation to understand their structure. But if one looks at the work of the practitioners in this area, e.g. the books of G. Herzberg,1) one sees that the practice is different: Low energy spectra and structure of molecules are analyzed in terms of rotators and oscillators (and at slightly higher energies in terms of Kepler systems (one electron outside a core)). This is shown in Figure la.
KeywordsRotational Band Vibrational Excitation Collective Model Supersymmetric Quantum Mechanic Group Contraction
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References and Footnotes
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- I. A. Malkin V. Manko JETP, Letters 2, 230 (1965).Google Scholar
- No attempt will be made to distinguish between the terms dynamical group, spectrum generating groups, spectrum algebras, spectrum supersymmetry, etc.Google Scholar
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- N. Mukunda, H. van Dam, L. C. Biedenharn, Relativistic Models, Springer Verlag, N.Y. (1982), Chapter V.Google Scholar